Question

Please help me have a blessed day if you do and even if you don't ​

Answer 1

The expression
`\((x^4 \cdot y^2 \cdot z)^5\)` simplifies to
`\(x^(20) \cdot y^(10) \cdot z^5\)`, obtained by applying the power of a power rule, multiplying the exponents, and simplifying.

Let's break down the calculation step by step:

`\[ (x^4 \cdot y^2 \cdot z)^5 \]`

Apply the power of a power rule, which states
`\((a^m)^n = a^(mn)\)`:

`\[ x^(4 \cdot 5) \cdot y^(2 \cdot 5) \cdot z^(1 \cdot 5) \]`

Simplify the exponents:

`\[ x^(20) \cdot y^(10) \cdot z^5 \]`

So, the step-by-step calculation involves raising each factor inside the parentheses to the power of 5. This results in
`\(x^(20) \cdot y^(10) \cdot z^5\)`, where each variable is raised to the power of 20, 10, and 5, respectively.

Que. Simplify the expression - (x^4× y^2×z)^5.